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41311204132331 = 7241163126153793
BaseRepresentation
bin10010110010010100000111…
…01001011100010111101011
312102021022102211211100200202
421121022003221130113223
520403320321224213311
6223510034415222415
711462431102216100
oct1131120351342753
9172238384740622
1041311204132331
1112187a8a82a761
12477247a817a0b
131a0882598c6b3
14a2b689ab0aa7
154b98ec5a4e3b
hex259283a5c5eb

41311204132331 has 24 divisors (see below), whose sum is σ = 49529997985104. Its totient is φ = 34334016030720.

The previous prime is 41311204132291. The next prime is 41311204132349. The reversal of 41311204132331 is 13323140211314.

41311204132331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41311204132331 - 242 = 36913157621227 is a prime.

It is a super-2 number, since 2×413112041323312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41311204132294 and 41311204132303.

It is not an unprimeable number, because it can be changed into a prime (41311204132351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62749430 + ... + 63404363.

It is an arithmetic number, because the mean of its divisors is an integer number (2063749916046).

Almost surely, 241311204132331 is an apocalyptic number.

41311204132331 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

41311204132331 is a deficient number, since it is larger than the sum of its proper divisors (8218793852773).

41311204132331 is a wasteful number, since it uses less digits than its factorization.

41311204132331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126154011 (or 126154004 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 41311204132331 its reverse (13323140211314), we get a palindrome (54634344343645).

The spelling of 41311204132331 in words is "forty-one trillion, three hundred eleven billion, two hundred four million, one hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 7 41 49 163 287 1141 2009 6683 7987 46781 327467 126153793 883076551 5172305513 6181535857 20563068259 36206138591 143941477813 253442970137 843085798619 1007590344691 5901600590333 41311204132331